[{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-14T11:28:49Z","status":"public","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2305.02662","open_access":"1"}],"title":"Lower bounds on weighted moments of primes in short intervals in number fields","author":[{"full_name":"de la Bretèche, Régis","first_name":"Régis","last_name":"de la Bretèche"},{"id":"c3bac823-112d-11f0-a3f5-c264f852e697","full_name":"Kuperberg, Vivian Zieve","first_name":"Vivian Zieve","last_name":"Kuperberg"}],"day":"01","OA_place":"repository","article_type":"original","publication_identifier":{"eissn":["1565-8511"],"issn":["0021-2172"]},"OA_type":"green","arxiv":1,"date_published":"2025-06-01T00:00:00Z","external_id":{"arxiv":["2305.02662"]},"oa":1,"_id":"22201","oa_version":"Preprint","date_created":"2026-06-29T13:00:06Z","publication":"Israel Journal of Mathematics","extern":"1","year":"2025","quality_controlled":"1","volume":267,"language":[{"iso":"eng"}],"article_processing_charge":"No","page":"437-461","issue":"1","month":"06","doi":"10.1007/s11856-024-2711-0","scopus_import":"1","abstract":[{"text":"We consider an analog of a conjecture of Montgomery and Soundararajan on the moments of primes in short intervals in number fields; this analog was discussed and heuristically derived in a paper of the second author, Rodgers, and Roditty-Gershon. Adapting work of the first author and Fiorilli in the integer case, we establish lower bounds on a weighted version of these moments which agree with the conjectured values.","lang":"eng"}],"citation":{"apa":"de la Bretèche, R., &#38; Kuperberg, V. Z. (2025). Lower bounds on weighted moments of primes in short intervals in number fields. <i>Israel Journal of Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11856-024-2711-0\">https://doi.org/10.1007/s11856-024-2711-0</a>","mla":"de la Bretèche, Régis, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted Moments of Primes in Short Intervals in Number Fields.” <i>Israel Journal of Mathematics</i>, vol. 267, no. 1, Springer Nature, 2025, pp. 437–61, doi:<a href=\"https://doi.org/10.1007/s11856-024-2711-0\">10.1007/s11856-024-2711-0</a>.","ieee":"R. de la Bretèche and V. Z. Kuperberg, “Lower bounds on weighted moments of primes in short intervals in number fields,” <i>Israel Journal of Mathematics</i>, vol. 267, no. 1. Springer Nature, pp. 437–461, 2025.","chicago":"Bretèche, Régis de la, and Vivian Zieve Kuperberg. “Lower Bounds on Weighted Moments of Primes in Short Intervals in Number Fields.” <i>Israel Journal of Mathematics</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s11856-024-2711-0\">https://doi.org/10.1007/s11856-024-2711-0</a>.","ista":"de la Bretèche R, Kuperberg VZ. 2025. Lower bounds on weighted moments of primes in short intervals in number fields. Israel Journal of Mathematics. 267(1), 437–461.","ama":"de la Bretèche R, Kuperberg VZ. Lower bounds on weighted moments of primes in short intervals in number fields. <i>Israel Journal of Mathematics</i>. 2025;267(1):437-461. doi:<a href=\"https://doi.org/10.1007/s11856-024-2711-0\">10.1007/s11856-024-2711-0</a>","short":"R. de la Bretèche, V.Z. Kuperberg, Israel Journal of Mathematics 267 (2025) 437–461."},"type":"journal_article","publisher":"Springer Nature","publication_status":"published","intvolume":"       267"}]